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Mathematics 2017, 5(4), 81; https://doi.org/10.3390/math5040081

Hyperfuzzy Ideals in BCK/BCI-Algebras

1
Department of Mathematics, Jeju National University, Jeju 63243, Korea
2
Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea
3
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
To the memory of Professor Lotfi A. Zadeh.
*
Author to whom correspondence should be addressed.
Received: 17 November 2017 / Revised: 10 December 2017 / Accepted: 10 December 2017 / Published: 14 December 2017
(This article belongs to the Special Issue Fuzzy Mathematics)
Full-Text   |   PDF [252 KB, uploaded 14 December 2017]

Abstract

The notions of hyperfuzzy ideals in B C K / B C I -algebras are introduced, and related properties are investigated. Characterizations of hyperfuzzy ideals are established. Relations between hyperfuzzy ideals and hyperfuzzy subalgebras are discussed. Conditions for hyperfuzzy subalgebras to be hyperfuzzy ideals are provided. View Full-Text
Keywords: hyperfuzzy set; hyperfuzzy subalgebra; hyperfuzzy ideal hyperfuzzy set; hyperfuzzy subalgebra; hyperfuzzy ideal
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Song, S.-Z.; Kim, S.J.; Jun, Y.B. Hyperfuzzy Ideals in BCK/BCI-Algebras. Mathematics 2017, 5, 81.

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